A. G. Kudryavtsev, “On the nonlocal darboux transformation for time-independent axially symmetric Schrödinger and Helmholtz equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2021, Volume 113, Issue 6,Pages <nobr>406

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METHODS OF THEORETICAL PHYSICS

On the nonlocal darboux transformation for time-independent axially symmetric Schrödinger and Helmholtz equations

A. G. Kudryavtsev

Institute of Applied Mechanics, Russian Academy of Science, Moscow, 125040 Russia

Abstract: The nonlocal Darboux transformation for the time-independent axially symmetric Schrödinger and Helmholtz equations has been considered. New examples of two-dimensional potentials and exact solutions of the time-independent axially symmetric Schrödinger and Helmholtz equations have been obtained on the basis of the formulas of the nonlocal Darboux and generalized Moutard transformations.

Received: 27.01.2021
Revised: 27.01.2021
Accepted: 17.02.2021

DOI: 10.31857/S1234567821060082